{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-10-05T05:26:33.583222Z",
     "start_time": "2025-10-05T05:26:33.148288Z"
    }
   },
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "from numpy.matlib import empty\n",
    "\n",
    "np.random.seed(0)\n",
    "data=np.random.uniform(1,10,(30,3))\n",
    "#xx=np.mean(data, axis=0)\n",
    "def data_center(data):#去中心化数据\n",
    "    data_centered = data - np.mean(data, axis=0)\n",
    "    return data_centered\n",
    "def covmartix(data):#构造协方差矩阵\n",
    "    cov = (data.T@data)/(data.shape[0]-1)\n",
    "    return cov\n",
    "def maxvector(covmartix):#求解特征值和特征向量\n",
    "    vals, vecs = np.linalg.eig(covmartix)\n",
    "    idx=np.argsort(-vals)\n",
    "    vals=vals[idx]\n",
    "    vecs=vecs[:,idx]\n",
    "    return vals, vecs\n",
    "def power_iteration(covmartix,iters,shape):#幂迭代近似最大特征根和特征向量\n",
    "        A=covmartix\n",
    "        vals=[]\n",
    "        vectors=[]\n",
    "        x= np.random.rand(shape, 1)\n",
    "        num=0\n",
    "        for j in range(shape):\n",
    "            if not vals:\n",
    "                for i in range(iters):\n",
    "                    x=A@x\n",
    "                    x = x / np.linalg.norm(x)#对x进行标准化方式溢出\n",
    "            else:\n",
    "                g= np.random.rand(shape, 1)\n",
    "                for o in vectors:\n",
    "                    proj = ((o.T@g) / (o.T@o)) * o*-1\n",
    "                    num+=proj\n",
    "                g= g+num#进行正交化\n",
    "                A=A-(vals[-1]*(x@x.T))#剔除先前的向量方向为求之后的lambda做准备\n",
    "                x=g\n",
    "                for k in range(iters):#幂迭代求特征向量\n",
    "                    x=A@x\n",
    "                    x = x / np.linalg.norm(x)#标准化\n",
    "            y=np.sqrt(np.sum((A@x)**2))\n",
    "            B=np.sqrt(np.sum(x**2))\n",
    "            vals.append(y/B)#求特征根\n",
    "            vectors.append(x)\n",
    "        return vals,vectors\n",
    "def draw(data,vectors):#绘画3维图像\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(111, projection='3d')\n",
    "    x=data[:,0]\n",
    "    y=data[:,1]\n",
    "    z=data[:,2]\n",
    "    ax.scatter(x, y, z, s=20)\n",
    "    ax.plot(\n",
    "        [-vectors[0][0]*60, vectors[0][0]*60],   # x 方向起点和终点\n",
    "        [-vectors[0][1]*60,vectors[0][1]*60],  # y 方向起点和终点\n",
    "        [-vectors[0][2]*60, vectors[0][2]*60],  # z 方向起点和终点\n",
    "        color='red', linewidth=2, label='pc1'\n",
    "    )\n",
    "    ax.plot(\n",
    "        [-vectors[1][0]*60, vectors[1][0]*60],\n",
    "        [-vectors[1][1]*60, vectors[1][1]*60],\n",
    "        [-vectors[1][2]*60, vectors[1][2]*60],\n",
    "        color='blue', linewidth=2, label='pc2'\n",
    "    )\n",
    "    ax.plot(\n",
    "        [-vectors[2][0]*60, vectors[2][0]*60],\n",
    "        [-vectors[2][1]*60, vectors[2][1]*60],\n",
    "        [-vectors[2][2]*60, vectors[2][2]*60],\n",
    "        color='orange', linewidth=2, label='pc3'\n",
    "    )\n",
    "    ax.set_xlim([-10, 10])\n",
    "    ax.set_ylim([-10, 10])\n",
    "    ax.set_zlim([-10, 10])\n",
    "    ax.set_xlabel('X')\n",
    "    ax.set_ylabel('Y')\n",
    "    ax.set_zlabel('Z')\n",
    "    plt.legend(loc='best')\n",
    "    ax.view_init(elev=20, azim=10)\n",
    "    plt.show()\n",
    "\n",
    "vals,vecs = maxvector(covmartix(data_center(data)))\n",
    "print('下方使用np求出的特征根和特征向量仅用于对比验证')\n",
    "print('特征值1：{}---对应的特征向量为：{}'.format(vals[0],vecs[:,0]))\n",
    "print('特征值2：{}---对应的特征向量为：{}'.format(vals[1],vecs[:,1]))\n",
    "print('特征值3：{}---对应的特征向量为：{}'.format(vals[2],vecs[:,2]))\n",
    "k1,k2=power_iteration(covmartix(data_center(data)),50,3)#获取幂迭代结果\n",
    "print('-'*100)\n",
    "print('下方为幂迭代所求，幂迭代求出的特征向方向可能与np求出的方向相反')\n",
    "print('使用幂迭代求出的特征根为：{}-对应的特征向量为：{}'.format(k1[0],k2[0].T))\n",
    "print('使用幂迭代求出的特征根为：{}-对应的特征向量为：{}'.format(k1[1],k2[1].T))\n",
    "print('使用幂迭代求出的特征根为：{}-对应的特征向量为：{}'.format(k1[2],k2[2].T))\n",
    "draw(data_center(data),k2)\n",
    "\n",
    "\n"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "下方使用np求出的特征根和特征向量仅用于对比验证\n",
      "特征值1：8.21018779035232---对应的特征向量为：[ 0.00548622 -0.95738898  0.28874944]\n",
      "特征值2：7.425368099193035---对应的特征向量为：[0.7296365  0.20128911 0.65353904]\n",
      "特征值3：4.466778185916907---对应的特征向量为：[-0.68381319  0.20709667  0.69965026]\n",
      "----------------------------------------------------------------------------------------------------\n",
      "下方为幂迭代所求，幂迭代求出的特征向方向可能与np求出的方向相反\n",
      "使用幂迭代求出的特征根为：8.210169301028186-对应的特征向量为：[[-0.0018569   0.95837836 -0.28549513]]\n",
      "使用幂迭代求出的特征根为：7.425389568808092-对应的特征向量为：[[0.72965564 0.19602065 0.65511721]]\n",
      "使用幂迭代求出的特征根为：4.466778185916907-对应的特征向量为：[[-0.68381319  0.20709667  0.69965026]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 1
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
